{ "id": "2010.14017", "version": "v1", "published": "2020-10-27T02:53:43.000Z", "updated": "2020-10-27T02:53:43.000Z", "title": "Fractional integration with singularity on Light-cone,I: natural setting", "authors": [ "Zipeng Wang" ], "comment": "21 pages, 2 figures", "categories": [ "math.CA" ], "abstract": "In this first part of our project, we prove a classical Hardy-Littlewood-Sobolev result for a new family of fractional integral operators whose kernel has singularity appeared on the light cone in R^n+1.", "revisions": [ { "version": "v1", "updated": "2020-10-27T02:53:43.000Z" } ], "analyses": { "keywords": [ "fractional integration", "natural setting", "singularity", "light-cone", "fractional integral operators" ], "note": { "typesetting": "TeX", "pages": 21, "language": "en", "license": "arXiv", "status": "editable" } } }